Find the general solution to the following ODE in terms of J, and Y₁. Indicate whether you could use J instead of Yv. r²u" (x) + 11xu'(x) + (x² + 16)u(x) = 0
Find the general solution to the following ODE in terms of J, and Y₁. Indicate whether you could use J instead of Yv. r²u" (x) + 11xu'(x) + (x² + 16)u(x) = 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the general solution to the following ODE in terms of J, and Y₂. Indicate whether you could use J_v
instead of Y₁.
x²y" (x) + 11xy'(x) + (x² + 16)y(x) = 0
Hint: Substitute y = 25, 2
222.
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